Question

the length of a room is three times the height and breadth is twice of its height.if the volume of the room is 384 m cube ,find its length ,breadth ,and height.
please do step by step

Answer 1

Answer:

गद्दाफी ने बताया गया कि क्या चीन के बारे मे जानकारी के

Answer 2

Given :-

The length of a room is three times the height and breadth is twice of its height.if the volume of the room is 384 m cube

To Find :-

Length, breadth & Height

Solution :-

Let the height of cuboid be h

Breadth = 2 × h = 2h

Length = 3 × h = 3h

Now

We know that

[Volume of cuboid = lbh]

⇒ 384 = 3h × 2h × h

⇒ 384 = 6h³

⇒ 384/6 = h³

⇒ 64 = h³

⇒ ∛64 = h

⇒ 4 = h

Now

Height = h = 4 m

Breadth = 2h = 2(4) = 8m

Length = 3h = 3(4) = 12 m

Therefore,

Length, breadth and height of rectangle is 12 m,8 m & 4 m